Final answer:
The height of the cylindrical lip balm tube with a diameter of 1 cm, a mass of 4 g, and a density of 0.637 g/cm³ is approximately 8 cm.
Step-by-step explanation:
To find the height of the cylinder shaped lip balm tube, we first need to use the given density and mass to calculate its volume. Density (ρ) is defined as mass (m) divided by volume (V), so we can rearrange this to find volume: V = m / ρ.
Given that:
- Mass (m) = 4 g
- Density (ρ) = 0.637 g/cm³
We can calculate the volume (V) as follows:
V = 4 g / 0.637 g/cm³ = ≈ 6.28 cm³
To find the height (h) of the cylindrical tube, use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height. Given that the diameter of the tube is 1 cm, the radius (r) is 0.5 cm (since radius is half of the diameter).
Hence, we substitute the values into the volume formula to find:
V = π * (0.5 cm)² * h = ≈ 6.28 cm³
h = ≈ 6.28 cm³ / (π * (0.5 cm)²)
h = ≈ 6.28 cm³ / (0.785 cm²)
h = ≈ 8 cm
So, the height of the cylindrical lip balm tube is approximately 8 cm.